8854214100 has 144 divisors (see below), whose sum is σ = 25952880576. Its totient is φ = 2330496000.

The previous prime is 8854214099. The next prime is 8854214123. The reversal of 8854214100 is 14124588.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8671590 + ... + 8672610.

Almost surely, 2^8854214100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8854214100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12976440288).

8854214100 is an abundant number, since it is smaller than the sum of its proper divisors (17098666476).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8854214100 is a wasteful number, since it uses less digits than its factorization.

8854214100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 8854214100 is about 94096.8336342940. The cubic root of 8854214100 is about 2068.7912614571.

Adding to 8854214100 its reverse (14124588), we get a palindrome (8868338688).

The spelling of 8854214100 in words is "eight billion, eight hundred fifty-four million, two hundred fourteen thousand, one hundred".